IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v124y2005i2d10.1007_s10957-004-0941-1.html
   My bibliography  Save this article

On Linear Inequality Systems with Smooth Coefficients

Author

Listed:
  • M. A. Goberna

    (Universidad de Alicante)

  • L. Hernández

    (Universidad Autónoma de Puebla)

  • M. I. Todorov

    (Universidad de las Américas)

Abstract

A linear inequality system with infinitely many constraints is polynomial [analytical] if its index set is a compact interval of the real line and all its coefficients are polynomial [analytical] functions of the index on this interval. This paper provides sufficient conditions for a given closed convex set to be the solution set of a certain polynomial or at least analytical system.

Suggested Citation

  • M. A. Goberna & L. Hernández & M. I. Todorov, 2005. "On Linear Inequality Systems with Smooth Coefficients," Journal of Optimization Theory and Applications, Springer, vol. 124(2), pages 363-386, February.
    • Handle: RePEc:spr:joptap:v:124:y:2005:i:2:d:10.1007_s10957-004-0941-1
    DOI: 10.1007/s10957-004-0941-1
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-004-0941-1
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-004-0941-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Leon, Teresa & Vercher, Enriqueta, 1992. "A purification algorithm for semi-infinite programming," European Journal of Operational Research, Elsevier, vol. 57(3), pages 412-420, March.
    2. M. A. Goberna & V. Jornet & R. Puente & M. I. Todorov, 1999. "Analytical Linear Inequality Systems and Optimization," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 95-119, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Miguel Goberna & Lidia Hernández & Maxim Todorov, 2005. "Separating the solution sets of analytical and polynomial systems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(2), pages 321-329, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. M. A. Goberna & V. Jornet & R. Puente & M. I. Todorov, 1999. "Analytical Linear Inequality Systems and Optimization," Journal of Optimization Theory and Applications, Springer, vol. 103(1), pages 95-119, October.
    2. Goberna, M. A. & Lopez, M. A., 2002. "Linear semi-infinite programming theory: An updated survey," European Journal of Operational Research, Elsevier, vol. 143(2), pages 390-405, December.
    3. Leon, T. & Sanmatias, S. & Vercher, E., 2000. "On the numerical treatment of linearly constrained semi-infinite optimization problems," European Journal of Operational Research, Elsevier, vol. 121(1), pages 78-91, February.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:124:y:2005:i:2:d:10.1007_s10957-004-0941-1. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.